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Finding the Third Proportional to 20,086 and 43,748

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Solution

The third proportional to 20,086 and 43,748 is: 95,284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086 : 43,748 = 43,748 : x
  2. Step 2: Convert to fraction form
    20,086/43,748 = 43,748/x
  3. Step 3: Cross multiply
    20,086x = 43,748 × 43,748
  4. Step 4: Simplify right side
    20,086x = 1,913,887,504
  5. Step 5: Solve for x
    x = 1,913,887,504/20,086
  6. Step 6: Final answer
    x = 95,284.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.